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6485632240 = 245614872729
BaseRepresentation
bin1100000101001001…
…01110010011110000
3121201222212020212111
412002210232103300
5101240310212430
62551321335104
7316501651543
oct60244562360
917658766774
106485632240
112828a7454a
121310037494
137c4890219
1445750485a
1527e5b3c2a
hex18292e4f0

6485632240 has 80 divisors (see below), whose sum is σ = 15363391680. Its totient is φ = 2545551360.

The previous prime is 6485632229. The next prime is 6485632247. The reversal of 6485632240 is 422365846.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6485632193 and 6485632202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6485632247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2375196 + ... + 2377924.

It is an arithmetic number, because the mean of its divisors is an integer number (192042396).

Almost surely, 26485632240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6485632240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7681695840).

6485632240 is an abundant number, since it is smaller than the sum of its proper divisors (8877759440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6485632240 is a wasteful number, since it uses less digits than its factorization.

6485632240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 6485632240 is about 80533.4231235703. The cubic root of 6485632240 is about 1864.8794915749.

The spelling of 6485632240 in words is "six billion, four hundred eighty-five million, six hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 487 488 610 974 976 1220 1948 2435 2440 2729 3896 4870 4880 5458 7792 9740 10916 13645 19480 21832 27290 29707 38960 43664 54580 59414 109160 118828 148535 166469 218320 237656 297070 332938 475312 594140 665876 832345 1188280 1329023 1331752 1664690 2376560 2658046 2663504 3329380 5316092 6645115 6658760 10632184 13290230 13317520 21264368 26580460 53160920 81070403 106321840 162140806 324281612 405352015 648563224 810704030 1297126448 1621408060 3242816120 6485632240